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Finding the Fourth Proportional to 5,856.84, 8,786.14 and 1,906.81

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Solution

The fourth proportional to 5,856.84, 8,786.14 and 1,906.81 is: 2,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.84 : 8,786.14 = 1,906.81 : x
  2. Step 2: Convert to fraction form
    5,856.84/8,786.14 = 1,906.81/x
  3. Step 3: Cross multiply
    5,856.84x = 8,786.14 × 1,906.81
  4. Step 4: Simplify right side
    5,856.84x = 16,753,472.88
  5. Step 5: Solve for x
    x = 16,753,472.88/5,856.84
  6. Step 6: Final answer
    x = 2,860.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.